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Finding the Fourth Proportional to 2,146.80, 3,218.28 and 847.92

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Solution

The fourth proportional to 2,146.80, 3,218.28 and 847.92 is: 1,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.80 : 3,218.28 = 847.92 : x
  2. Step 2: Convert to fraction form
    2,146.80/3,218.28 = 847.92/x
  3. Step 3: Cross multiply
    2,146.80x = 3,218.28 × 847.92
  4. Step 4: Simplify right side
    2,146.80x = 2,728,843.98
  5. Step 5: Solve for x
    x = 2,728,843.98/2,146.80
  6. Step 6: Final answer
    x = 1,271.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.